Using Linear Approximation, estimate Af for a change in x from x = 100 to x = 94. 1 √x (Use decimal notation. Give your answer to four decimal places if necessary.) Af= f(x) = Use the estimate to approximate ƒ(94). (Use decimal notation. Give your answer to four decimal places if necessary.) ƒ(94) = Find the error using a calculator. (Use decimal notation. Give your answer to six decimal places.)
Using Linear Approximation, estimate Af for a change in x from x = 100 to x = 94. 1 √x (Use decimal notation. Give your answer to four decimal places if necessary.) Af= f(x) = Use the estimate to approximate ƒ(94). (Use decimal notation. Give your answer to four decimal places if necessary.) ƒ(94) = Find the error using a calculator. (Use decimal notation. Give your answer to six decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Using Linear Approximation, estimate Δf for a change in x from x = 100 to x = 94.**
\[ f(x) = \frac{1}{\sqrt{x}} \]
*(Use decimal notation. Give your answer to four decimal places if necessary.)*
\[ \Delta f = \underline{\qquad\qquad\qquad} \]
**Use the estimate to approximate f(94).**
*(Use decimal notation. Give your answer to four decimal places if necessary.)*
\[ f(94) = \underline{\qquad\qquad\qquad} \]
**Find the error using a calculator.**
*(Use decimal notation. Give your answer to six decimal places.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe70156d-6630-4fa1-bd10-160edc6ae6ae%2Feeb52fa4-5a40-41f8-8197-5c4cff18042e%2Fiu4l3p_processed.png&w=3840&q=75)
Transcribed Image Text:**Using Linear Approximation, estimate Δf for a change in x from x = 100 to x = 94.**
\[ f(x) = \frac{1}{\sqrt{x}} \]
*(Use decimal notation. Give your answer to four decimal places if necessary.)*
\[ \Delta f = \underline{\qquad\qquad\qquad} \]
**Use the estimate to approximate f(94).**
*(Use decimal notation. Give your answer to four decimal places if necessary.)*
\[ f(94) = \underline{\qquad\qquad\qquad} \]
**Find the error using a calculator.**
*(Use decimal notation. Give your answer to six decimal places.)*
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